Pith Number

pith:5J7V6ZLB

pith:2013:5J7V6ZLB6JDZ34RYICCLFW7X3J

not attested not anchored not stored refs pending

A bound for the error term in the Brent-McMillan algorithm

Fredrik Johansson, Richard P. Brent

arxiv:1312.0039 v1 · 2013-11-29 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5J7V6ZLB6JDZ34RYICCLFW7X3J}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:35:16.743831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7f5f6561f2479df2384084b2dbf7da64d869dba767993474fb5cba236c13fb

Aliases

arxiv: 1312.0039 · arxiv_version: 1312.0039v1 · doi: 10.48550/arxiv.1312.0039 · pith_short_12: 5J7V6ZLB6JDZ · pith_short_16: 5J7V6ZLB6JDZ34RY · pith_short_8: 5J7V6ZLB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5J7V6ZLB6JDZ34RYICCLFW7X3J \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ea7f5f6561f2479df2384084b2dbf7da64d869dba767993474fb5cba236c13fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c08d38e05e88dfc6aaf5ceb7197c067fe37c601990a4fedfcf66f9874efe1545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-29T23:47:32Z",
    "title_canon_sha256": "55d302a37775d790376d27a281afd95cecb406eb56f8e8617c25cf11150e9a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0039",
    "kind": "arxiv",
    "version": 1
  }
}